Dirac's Method for the Two-Dimensional Damped Harmonic Oscillator in the Extended Phase Space
Abstract
The system of two-dimensional damped harmonic oscillator is revisited in the extended phase space. It is an old problem already addressed by many authors that we present here in some fresh points of view and carry on smoothly a whole discussion. We show that the system is singular. The classical Hamiltonian is proportional to the first-class constraint. We pursue with the Dirac's canonical quantization procedure by fixing the gauge and provide a reduced phase space description of the system. As result the quantum system is simply modeled by the original quantum Hamiltonian.
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Cite
@article{arxiv.1807.01539,
title = {Dirac's Method for the Two-Dimensional Damped Harmonic Oscillator in the Extended Phase Space},
author = {Laure Gouba},
journal= {arXiv preprint arXiv:1807.01539},
year = {2018}
}
Comments
12 pages, Open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0)